Highly Efficient Modeling of Dynamic Coronal Loops
arXiv:0710.0185 · doi:10.1086/589426
Abstract
Observational and theoretical evidence suggests that coronal heating is impulsive and occurs on very small cross-field spatial scales. A single coronal loop could contain a hundred or more individual strands that are heated quasi-independently by nanoflares. It is therefore an enormous undertaking to model an entire active region or the global corona. Three-dimensional MHD codes have inadequate spatial resolution, and 1D hydro codes are too slow to simulate the many thousands of elemental strands that must be treated in a reasonable representation. Fortunately, thermal conduction and flows tend to smooth out plasma gradients along the magnetic field, so "0D models" are an acceptable alternative. We have developed a highly efficient model called Enthalpy-Based Thermal Evolution of Loops (EBTEL) that accurately describes the evolution of the average temperature, pressure, and density along a coronal strand. It improves significantly upon earlier models of this type--in accuracy, flexibility, and capability. It treats both slowly varying and highly impulsive coronal heating; it provides the differential emission measure distribution, DEM(T), at the transition region footpoints; and there are options for heat flux saturation and nonthermal electron beam heating. EBTEL gives excellent agreement with far more sophisticated 1D hydro simulations despite using four orders of magnitude less computing time. It promises to be a powerful new tool for solar and stellar studies.
34 pages, 8 figures, accepted by Astrophysical Journal (minor revisions of original submitted version)
References in corpus (6)
- On Solving the Coronal Heating Problem
- The Dynamic Formation of Prominence Condensations
- The Magnetic Structure of Coronal Loops Observed by TRACE
- Hydrostatic Modeling of the Integrated Soft X-Ray and EUV Emission in Solar Active Regions
- Static and Dynamic Modeling of a Solar Active Region. I: Soft X-Ray Emission
- Energy Budget and Imaging Spectroscopy of a Compact Flare
Cited by in corpus (175)
- Key Aspects of Coronal Heating
- Observing the fine structure of loops through high resolution spectroscopic observations of coronal rain with the CRISP instrument at the Swedish Solar Telescope
- Hot Spine Loops and the Nature of a Late-Phase Solar Flare
- The Properties of the Solar Corona and Its Connection to the Solar Wind
- The influence of numerical resolution on coronal density in hydrodynamic models of impulsive heating
- Observing coronal nanoflares in active region moss
- Constraints on the Heating of High Temperature Active Region Loops: Observations from Hinode and SDO
- Enthalpy-based Thermal Evolution of Loops: II. Improvements to the Model
- Using a Differential Emission Measure and Density Measurements in an Active Region Core to Test a Steady Heating Model
- Unprecedented Fine Structure of a Solar Flare Revealed by the 1.6~m New Solar Telescope
- Coronal Loops: Observations and Modeling of Confined Plasma
- What is the Nature of EUV Waves? First STEREO 3D Observations and Comparison with Theoretical Models
- Patterns of Nanoflare Storm Heating Exhibited by an Active Region Observed with SDO/AIA
- Can Thermal Nonequilibrium Explain Coronal Loops?
- Hinode X-Ray Telescope Detection of Hot Emission from Quiescent Active Regions: A Nanoflare Signature?
- Evidence of widespread hot plasma in a non-flaring coronal active region from Hinode/XRT
- Emission Measure Distribution and Heating of Two Active Region Cores
- The Role of Type II Spicules in the Upper Solar Atmosphere
- The Origin of Underdense Plasma Downflows Associated with Magnetic Reconnection in Solar Flares
- Diagnosing the time-dependence of active region core heating from the emission measure: I. Low-frequency nanoflares
- Hydrogen Balmer Line Broadening in Solar and Stellar Flares
- Blob formation and ejection in coronal jets due to the plasmoid and Kelvin-Helmholtz instabilities
- Multi-wavelength observations and modelling of a canonical solar flare
- Inference of Heating Properties from "Hot" Non-flaring Plasmas in Active Region Cores I. Single Nanoflares
- Modeling the Line-of-Sight Integrated Emission in the Corona: Implications for Coronal Heating
- Extreme Ultra-Violet Spectroscopy of the Lower Solar Atmosphere During Solar Flares
- Unresolved fine-scale structure in solar coronal loop-tops
- Constraining the hard X-ray properties of the quiet Sun with new RHESSI observations
- The Role of Asymmetries in Thermal Non-Equilibrium
- The first X-ray imaging spectroscopy of quiescent solar active regions with NuSTAR
- The Distinction Between Thermal Nonequilibrium and Thermal Instability
- Coronal Fourier power spectra: implications for coronal seismology and coronal heating
- Decay Phase Cooling and Inferred Heating of M- and X-class Solar Flares
- The solar corona as an active medium for magnetoacoustic waves
- Widespread nanoflare variability detected with Hinode/XRT in a solar active region
- The effects of numerical resolution, heating timescales and background heating on thermal non-equilibrium in coronal loops
- Observing the formation of flare-driven coronal rain
- Hot Plasma in Non-Flaring Active Regions Observed by the Extreme-ultraviolet Imaging Spectrometer on Hinode
- Spectroscopic Observations of Hot Lines Constraining Coronal Heating in Solar Active Regions
- Are Chromospheric Nanoflares a Primary Source of Coronal Plasma?
- Diagnosing the time-dependence of active region core heating from the emission measure: II. Nanoflare trains
- A Model for the Origin of High Density in Loop-top X-ray Sources
- A Fast and Accurate Method to Capture the Solar Corona/Transition Region Enthalpy Exchange
- Investigating the differential emission measure and energetics of microflares with combined SDO/AIA and RHESSI observations
- Soft X-ray coronal spectra at low activity levels observed by RESIK
- Signatures of impulsive localized heating in the temperature distribution of multi-stranded coronal loops
- Evidence of Impulsive Heating in Active Region Core Loops
- Long Duration Flare Emission: Impulsive or Gradual Heating?
- Inference of Heating Properties from "Hot" Non-flaring Plasmas in Active Region Cores. II. Nanoflare Trains
- Multi-scale dynamics of magnetic flux tubes and inverse magnetic energy transfer
- Transition Region and Chromospheric Signatures of Impulsive Heating Events. II. Modeling
- The Cooling of Coronal Plasmas. iv: Catastrophic Cooling of Loops
- Determining heating time scales in solar active region cores from AIA/SDO Fe XVIII images
- Patterns of Activity in a Global Model of a Solar Active Region
- A new approach for modelling chromospheric evaporation in response to enhanced coronal heating: I The method
- Thermal and non-thermal emission from reconnecting twisted coronal loops
- Determining Heating Rates in Reconnection Formed Flare Loops of the M8.0 Flare on 2005 May 13
- Magnetic island merger as a mechanism for inverse magnetic energy transfer
- Statistical Signatures of Nanoflare Activity. I. Monte Carlo Simulations and Parameter-space Exploration
- On the Nature of the Extreme-Ultraviolet Late Phase of Solar Flares
- Energetic characterisation and statistics of solar coronal brightenings
- Corona and XUV emission modelling of the Sun and Sun-like stars
- A simple model for the evolution of multi-stranded coronal loops
- Two-Phase Heating in Flaring Loops
- Electron Beams Cannot Directly Produce Coronal Rain
- A Flare Observed in Coronal, Transition Region and Helium I 10830 Å Emissions
- Modelling the solar transition region using an adaptive conduction method
- Anomalous Cooling of Coronal Loops with Turbulent Suppression of Thermal Conduction
- Heating of an erupting prominence associated with a solar coronal mass ejection on 2012 January 27
- Data-Constrained Solar Modeling with GX Simulator
- The role of radiative losses in the late evolution of pulse-heated coronal loops/strands
- The Solar Flare Iron Abundance
- Understanding Heating in Active Region Cores through Machine Learning I. Numerical Modeling and Predicted Observables
- When do solar erupting hot magnetic flux ropes form?
- Static and Impulsive Models of Solar Active Regions
- 2D cellular automaton model for the evolution of active region coronal plasmas
- Temperature of Solar Orbiter/EUI quiet Sun small scale brightenings: evidence for a cooler component
- Three-dimensional Turbulent Reconnection within Solar Flare Current Sheet
- Soft X-ray emission in kink-unstable coronal loops
- Can a Long Nanoflare Storm Explain the Observed Emission Measure Distributions in Active Region Cores?
- Signatures of Steady Heating in Time Lag Analysis of Coronal Emission
- Coronal heating in multiple magnetic threads
- The Slowly Varying Corona: I --- Daily Differential Emission Measure Distributions Derived from EVE Spectra
- X-ray Flares of EV Lac: Statistics, Spectra, Diagnostics
- Investigation of Hot X-ray Points (HXPs) Using Spectroheliograph Mg XII Experiment Data From CORONAS-F/SPIRIT
- Chromospheric Nanoflares as a Source of Coronal Plasma: II. Repeating Nanoflares
- UV and EUV Emissions at the Flare Foot-points Observed by AIA
- Heating and cooling of coronal loops with turbulent suppression of parallel heat conduction
- Theory of gyroresonance and free-free emissions from non-Maxwellian quasi-steady-state electron distributions
- Effect of Thermal Conductivity, Compressive Viscosity and Radiative Cooling on the Phase Shift of Propagating Slow Waves with and without Heating-Cooling Imbalance
- The Magnetic Properties of Heating Events on High-Temperature Active Region Loops
- Structures in the outer solar atmosphere
- Chromospheric evaporation and phase mixing of Alfvén waves in coronal loops
- Core and Wing Densities of Asymmetric Coronal Spectral Profiles: Implications for the Mass Supply of the Solar Corona
- Extremely Large Extreme-ultraviolet Late Phase Powered by Intense Early Heating in a Non-eruptive Solar Flare
- Plasma motions and non-thermal line broadening in flaring twisted coronal loops
- The Neupert Effect of Flare UltraViolet and Soft X-ray Emissions
- Hard X-Ray Constraints on Small-Scale Coronal Heating Events
- Self-Organization of Reconnecting Plasmas to Marginal Collisionality in the Solar Corona
- Unravelling the components of a multi-thermal coronal loop using magnetohydrodynamic seismology
- Magnetic loops above a small flux-emerging region observed by IRIS, Hinode and SDO
- Time-resolved emission from bright hot pixels of an active region observed in the EUV band with SDO/AIA and multi-stranded loop modeling
- Role of Non-Ideal Dissipation with Heating-Cooling Misbalance on the Phase Shifts of Standing Slow Magnetohydrodynamic Waves
- A new approach for modelling chromospheric evaporation in response to enhanced coronal heating: II Non-uniform heating
- Effect of Coronal Loop Structure on Wave Heating by Phase Mixing
- A diagnostic of coronal elemental behavior during the inverse FIP effect in solar flares
- Coronal Loop Scaling Laws for Various Forms of Parallel Heat Conduction
- Static and dynamic solar coronal loops with cross-sectional area variations
- Connecting Chromospheric Condensation Signatures to Reconnection Driven Heating Rates in an Observed Flare
- Heating and Dynamics of Two Flare Loop Systems Observed by AIA and EIS
- Combining particle acceleration and coronal heating via data-constrained calculations of nanoflares in coronal loops
- Modeling Coronal Response in Decaying Active Regions with Magnetic Flux Transport and Steady Heating
- Gyroresonance and free-free radio emissions from multi-thermal multi-component plasma
- Statistical description of coalescing magnetic islands via magnetic reconnection
- A nanoflare based cellular automaton model and the observed properties of the coronal plasma
- Solar Active Region Heating Diagnostics from High Temperature Emission using the Marshall Grazing Incidence X-ray Spectrometer (MaGIXS)
- Heating Mechanisms for Intermittent Loops in Active Region Cores from AIA/SDO EUV Observations
- Current-sheet Oscillations Caused by Kelvin-Helmholtz Instability at the Loop Top of Solar Flares
- Probing the Production of Extreme-ultraviolet Late-Phase Solar Flares by Using the Model Enthalpy-Based Thermal Evolution of Loops
- Simulating Solar Flare Irradiance with Multithreaded Models of Flare Arcades
- Extreme-ultraviolet Late Phase Caused by Magnetic Reconnection over Quadrupolar Magnetic Configuration in a Solar Flare
- Solar low-lying cool loops and their contribution to the transition region EUV output
- Exploring the damping of Alfvén waves along a long off-limb coronal loop, up to 1.4 R
- Analysis and Modeling of Two Flare Loops Observed by AIA and EIS
- Role of small-scale impulsive events in heating the X-ray bright points of the quiet Sun
- Statistical Properties of Soft X-ray emission of solar flares
- Electron Densities in the Solar Corona Measured Simultaneously in the Extreme-Ultraviolet and Infra-Red
- Coronal Heating Law Constrained by Microwave Gyroresonant Emission
- The effects of driving time scales on coronal heating in a stratified atmosphere
- Observations and modeling of the emerging EUV loops in the quiet Sun as seen with the Solar Dynamics Observatory
- Energy-Dependent Timing of Thermal Emission in Solar Flares
- Nowcast of an EUV dynamic spectrum during solar flares
- 2D MHD and 1D HD models of a solar flare -- a comprehensive comparison of the results
- EUV flickering of solar coronal loops: a new diagnostic of coronal heating
- Hot plasma in a quiescent solar active region as measured by RHESSI, XRT, and AIA
- Energy Input Flux in the Global Quiet-Sun Corona
- Modeling Active Region Transient Brightenings Observed with XRT as Multi-Stranded Loops
- Scaling Laws for Dynamic Solar Loops
- The Lyman-alpha Emission in Solar Flares. I. a Statistical Study on Its Relationship with the 1--8 Å Soft X-ray Emission
- Understanding Heating in Active Region Cores through Machine Learning II. Classifying Observations
- Coronal energy release by MHD avalanches III. Identification of a reconnection outflow from a nanoflare
- Modeling of Condensations in Coronal Loops Produced by Impulsive Heating
- Simulation of Thermal Nonequilibrium Cycles in the Solar Wind
- Nanoflare Diagnostics from Magnetohydrodynamic Heating Profiles
- Temperature and Differential Emission Measure Profiles in Turbulent Solar Active Region Loops
- Transition region contribution to AIA observations in the context of coronal heating
- Direct Observations of Plasma Upflows and Condensation in a Catastrophically Cooling Solar Transition Region Loop
- Time variations of observed H line profiles and precipitation depths of non-thermal electrons in a solar flare
- Spatiotemporal Low FIP Abundance: A Catalyst for Coronal Condensation
- Multifractal Solar EUV Intensity Fluctuations and their Implications for Coronal Heating Models
- Multi-Stranded Coronal Loops: Quantifying Strand Number and Heating Frequency from Simulated Solar Dynamics Observatory (SDO) Atmospheric Imaging Assembly (AIA) Observations
- Enthalpy-based modeling of tomographically reconstructed quiet-Sun coronal loops
- An Atypical Plateau-like Extreme-ultraviolet Late-phase Solar Flare Driven by the Non-radial Eruption of a Magnetic Flux Rope
- The nature of small scale EUV solar brightenings investigated as impulsive heating of short loops in 1D hydrododynamics simulations
- Onset of Electron Acceleration in a Flare Loop
- A Solar Magnetic-fan Flaring Arch Heated by Non-thermal Particles and Hot Plasma from an X-ray Jet Eruption
- Energy distribution of small-scale flares derived using genetic algorithm
- Estimates of Densities and Filling Factors from a Cooling Time Analysis of Solar Microflares Observed with RHESSI
- The Equilibrium of Coronal Loops Near Separatrices
- Implications for additional plasma heating driving the extreme-ultraviolet late phase of a solar flare with microwave imaging spectroscopy
- Energy partition in a confined flare with an extreme-ultraviolet late phase
- The Transition Region of Solar Flare Loops
- On the intermittency of hot plasma loops in the solar corona
- Hydrodynamics of small transient brightenings in Solar corona
- Heating and cooling at a coronal magnetic null
- Flare Hybrids
- Forward Modeling Transient Brightenings and Microflares around an Active Region Observed with Hi-C
- Three-Dimensional Reconstruction and Thermal Modelling of Observed Loops
- Anomalous cross-field motions of solar coronal loops
- Data-driven Radiative Magnetohydrodynamics Simulations with the MURaM Code: Coronal Heating and Dynamics in an Emerging Active Region
- Effect of optically thin cooling curves on condensation formation: Case study using thermal instability
- A fast multi-dimensional magnetohydrodynamic formulation of the transition region adaptive conduction (TRAC) method
- EUV and X-ray Spectroscopy of the Active Sun
- Flows in Enthalpy Based Thermal Evolution of Loops
- Extreme-ultraviolet Late Phase in Homologous Solar Flares from a Complex Active Region